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Equation 2 · Building an AI Agent Architecture in Practice: An Advanced Technical Guide

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sleep(n)=Uniform ⁣(0, backoff(n)).\text{sleep}(n) = \mathrm{Uniform}\!\left(0,\ \text{backoff}(n)\right).

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Inputs and operationsUniform(0, backoff(n))
Result or conditionsleep(n)
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nn

Symbol n

n is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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and full jitter — the post’s recommended default — then draws the actual wait time as a uniform random value below that ceiling rather than using it directly, sleep(n)=Uniform ⁣(0, backoff(n))\text{sleep}(n) = \mathrm{Uniform}\!\left(0,\ \text{backoff}(n)\right). Randomizing the wait, not merely lengthening it, is what decorrelates simultaneous retries into a spread-out stream the recovering dependency can actually absorb; the post reports that unjittered exponential backoff was “the clear loser” against every jittered variant it tested in simulation [ 7 ] .

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